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QuizMultiple Choice

Quadratic Functions: Vertex Form

Question 1 • High School Math 2 A

The graph of which function is decreasing over the interval (–4, ∞)?

Answer
A
f(x) = (x + 4)2 + 4
B
f(x) = –(x + 4)2 + 4
C
f(x) = (x – 4)2 – 4
D
f(x) = –(x – 4)2 – 4

Explanation

For a downward-opening parabola, the graph decreases to the right of its vertex. Choice B, f(x) = −(x + 4)² + 4, opens downward and has its vertex at x = −4, so it is decreasing for every x in (−4, ∞).

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